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7/25/2019 Reg Tests 1a
1/36
0 1 2 3 4 5
0
5
10
15
1:4
Y
B
D
A
C
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1.0 0.5 0.0 0.5 1.01.0
0.5
0.0
0.5
1.0
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3/36
0.5 0.0 0.5 1.0 1.5
0.0
0.2
0.4
0.6
0.8
1.0
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4/36
0.0 0.2 0.4 0.6 0.8 1.0
0.6
0.8
1.0
1.2
1.4
x
1
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5/36
0.0 0.2 0.4 0.6 0.8 1.0
0.6
0.8
1.0
1.2
1.4
x
1
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6/36
0.0 0.2 0.4 0.6 0.8 1.0
0.6
0.8
1.0
1.2
1.4
x
1
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0.3
0.5
0.7
0.9
S
eries1
0.0
0.2
0.4
0.6
1 2 3 4 5
Series2
Time
ts(matrix(runif(10), ncol = 2))
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Time
0 50 100 150
20
0
20
40
60
Time
0 50 100 150
20
0
20
40
60
80
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9/36
0.00 0.02 0.04
0.6
0.8
1.0
1.2
1.4
x2
1
1
1:2
matrix(1
:4,2)
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Histogram of .leap.seconds
.leap.seconds
Density
0.0e+00
2.0e
10
4.0e10
6.0e10
8.0e10
1.0e091.2e09
1969 1982 1995 2008 4.5 5.5 6.5 7.5
setosa
versicolor
virginica
Sepal
7/25/2019 Reg Tests 1a
11/36
1.90 2.00 2.10
3.0
3
.2
3.4
3.6
3.8
4.0
stepfun(2, 3:4)
x
f(x)
5 10 15 20
0.2
0.1
0.0
0.1
0.2
Lag
Pa
rtialACF
Series z
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5 10 15 20
0.2
0.1
0.0
0
.1
0.2
Lag
PartialACF
Series matrix(rnorm(100), , 1)
18, cv = TRUE, control.spar = list(trace = TRUE, tol = 1e06, low = 3, maxit = 20))
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Standardized Residuals
Time
0 10 20 30 40
1
0
1
2
0 5 10 15
0.2
0.2
0.6
1.0
Lag
ACF
ACF of Residuals
2 4 6 8 10
0.0
0.4
0.8
p values for LjungBox statistic
lag
pvalue
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14/36
Standardized Residuals
Time
0 10 20 30 40
1
0
1
2
0 5 10 15
0.2
0.2
0.6
1.0
Lag
ACF
ACF of Residuals
2 4 6 8 10
0.0
0.4
0.8
p values for LjungBox statistic
lag
pvalue
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0.6 0.8 1.0 1.2 1.4
0.6
0.8
1.0
1.2
1.4
Index
1
2 4 6 8 10 12
0
5
10
15
20
25
30
weight
depression
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2 4 6 8 10 12
0
5
10
15
20
25
30
weight
depression
2 4 6 8 10
2
4
6
8
10
Index
1:10
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1e299 1e181 1e63
1e307
1e247
1e1
87
1e127
1e67
x^0.9
x
1.0 1.5 2.0 2.5 3.0
20
10
5
2
1
x
exp(x)
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0 20 40 60 80 100
100
50
2
0
10
Index
1:100
0.0 0.2 0.4 0.6 0.8 1.0
0.0
0.
2
0.4
0.6
0.8
1.0
0:1
0:1
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0 1 2 3 4 5 6
3
2
1
0
1
2
Predicted values
R
esiduals
Residuals vs Fitted
25
2
12
2 1 0 1 2
3
2
1
0
1
2
3
Theoretical Quantiles
Std.d
evianceresid.
Normal QQ
25
44
2
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20/36
0 1 2 3 4 5 6
0.0
0.5
1.0
1.5
Predicted values
Std.d
evianceresid.
ScaleLocation
25
44
2
0.0 0.2 0.4 0.6
3
2
1
0
1
2
3
Leverage
Std.P
earsonresid.
Cook's distance1
0.5
0.5
1
Residuals vs Leverage
44
20
25
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0.0
0.1
0.2
0.3
0.4
Leverage hii
Coo
k'sdistance
0 0.4 0.6
0
0.511.522.53
Cook's dist vs Leverage hii (1 hii)
44
20
25
0.0 0.2 0.4 0.6
3
2
1
0
1
2
3
Leverage
Std.P
earsonresid.
Cook's distance1
0.5
0.5
1
Residuals vs Leverage
44
20
25
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0.0
0.1
0.2
0.3
0.4
Leverage hii
Coo
k'sdistance
0 0.4 0.6
0
0.511.522.53
Cook's dist vs Leverage hii (1 hii)
44
20
25
0 1 2 3 4 5 6
3
2
1
0
1
2
Predicted values
R
esiduals
25
2
12
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2 1 0 1 2
3
2
1
0
1
2
3
Theoretical Quantiles
Std.d
evianceresid.
25
44
2
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24/36
60 62 64 66 68 70
0.4
0.2
0.0
0.2
0.4
Fitted values
R
esiduals
lm(Employed ~ . Population GNP.deflator)
Residuals vs Fitted
1956
1950
1951
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2 1 0 1 2
1
0
1
2
Theoretical Quantiles
Standa
rdizedresiduals
lm(Employed ~ . Population GNP.deflator)
Normal QQ
1956
1951
1950
7/25/2019 Reg Tests 1a
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60 62 64 66 68 70
0.0
0.2
0.4
0.
6
0.8
1.0
1.2
1.4
Fitted values
Standa
rdizedresiduals
lm(Employed ~ . Population GNP.deflator)
ScaleLocation
1956
19511950
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5 10 15
0.0
0.1
0.2
0.3
0.4
0.5
Obs. number
Coo
k'sdistance
lm(Employed ~ . Population GNP.deflator)
Cook's distance
1951
1956
1962
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0.0 0.1 0.2 0.3 0.4
2
1
0
1
2
Leverage
Standa
rdizedresiduals
lm(Employed ~ . Population GNP.deflator)
Cook's distance
0.5
0.5
1
Residuals vs Leverage
1951
1956
1962
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0.0
0.1
0.2
0.3
0.4
Leverage hii
Coo
k'sdistance
0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45
lm(Employed ~ . Population GNP.deflator)
0
0.5
11.52
Cook's dist vs Leverage hii (1 hii)
1951
1956
1962
Residuals vs Fitted Normal QQ
7/25/2019 Reg Tests 1a
30/36
0.20 0.25 0.30 0.35
5
0
5
Fitted values
Residuals
132
10
144
3 2 1 0 1 2 3
4
2
0
2
4
Theoretical Quantiles
Standardizedresiduals
132
10
144
0.20 0.25 0.30 0.35
0.0
0.5
1.0
1.5
2.0
Fitted values
Standardizedresiduals
ScaleLocation13210
144
foofoofoofoofoo
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1.0 1.2 1.4 1.6 1.8 2.0
1.0
1.2
1.4
1.6
1.8
2.0
Index
1:2
x & y
7/25/2019 Reg Tests 1a
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15 10 5 0 5 10 15
0.2
0.1
0.0
0.1
0.2
Lag
ACF
7/25/2019 Reg Tests 1a
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1 2 3 4 5 6
0.0
0.5
1.0
1.5
p
pp p p p
l
b
b
bb b b
o
o
o
o o o
h
s
S
1:3 & (1:3)
7/25/2019 Reg Tests 1a
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1.0 0.5 0.0 0.5 1.0
1.0
0.5
0.0
0.5
1.0
Lag
ACF
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CONT
DMNR
INTG
PHYS
DECI
CFMG
DILG
FAMI
PREP
RTEN
WRIT
ORAL
ORAL
WRIT
RTEN
PREP
FAMI
DILG
CFMG
DECI
PHYS
INTG
DMNR
CONT
x
7/25/2019 Reg Tests 1a
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1.1 1.2
2.1
2.2